Less than 1ounce: Feather, grain of sand, grain of sugar
more than 1 ton: Car,house,train
Answer:
Each daylilies cost $7
Step-by-step explanation:
Step one:
let roses be x
and daylilies be y
so
8x+15y=193--------------1
also
3x+12y=117--------------2
we can solve equations 1 and 2 by substitution
8x=193-15y
x=(193-15y)/8
put x= (193-15y)/8 in 3x+12y=117
3((193-15y)/8)+12y=117
(579-45y)/8+12y=117
579-45y=8(117-12y)
579-45y=936-96y
collect like terms
579-936=-96y+45y
-357=-51y
divide both sides by -51
y=-357/-51
y=7
Hence each daylilies cost $7
put y=7 in eqn 1
8x+15(7)=193
8x+105=193
8x=193-105
8x=88
x=88/8
x=11
rose cost $8
Answer:
option à is correct
Step-by-step explanation:
pls mak me brainlist answer
<h3>Given</h3>
P = 3r + 2s
<h3>Find</h3>
the corresponding equation for s
<h3>Solution</h3>
First of all, look at how this is evaluated in terms of what happens to a value for s.
- s is multiplied by 2
- 3r is added to that product
To solve for s, you undo these operations in reverse order. The "undo" for addition is adding the opposite. The "undo" for multiplication is division (or multiplication by the reciprocal).
... P = 3r + 2s . . . . . . starting equation
... P - 3r = 2s . . . . . . -3r is added to both sides to undo addition of 3r
... (P -3r)/2 = s . . . . . both sides are divided by 2 to undo the multiplication
Note that the division is of everything on both sides of the equation. That is why we need to add parentheses around the expression that was on the left—so the whole thing gets divided by 2.
Your solution is ...
... s = (P - 3r)/2
From the setup of the problem, the "length of the top of the bookcase, measured along the attic ceiling" will be the hypotenuse of a right triangle, the length "AB". We have both the angle between AB and AC and the length of AC (3.24 meters), so we can use trigonometric identities.
The cosine of the 40 degree angle between AB and AC is equivalent to the length of AC divided by the length of AB. Equivalently, we have:
where "h", the hypotenuse, is the length we want. Rearranging the formula to solve for h we have that
which is 4.2295... meters. Converting to centimeters (multiplying by 100) we have that h = 422.95... centimeters, or if we round the value, h = 423 centimeters.
